Higher Derivative CP(N) Model and Quantization of the Induced Chern-Simons Term

Abstract

We consider higher derivative CP(N) model in 2+1 dimensions with the Wess-Zumino-Witten term and the topological current density squared term. We quantize the theory by using the auxiliary gauge field formulation in the path integral method and prove that the extended model remains renormalizable in the large N limit. We find that the Maxwell-Chern-Simons theory is dynamically induced in the large N effective action at a nontrivial UV fixed point. The quantization of the Chern-Simons term is also discussed.

8 pages, no figure, a minor change in abstract, added Comments on the quantization of the Chern-Simons term whose coefficient is also corrected, and some references are added. Some typos are corrected. Added a new paragraph checking the equivalence between (3) and (5), and a related reference

References in corpus (2)

• Gauged Nonlinear Sigma Model and Boundary Diffeomorphism Algebra
• Large N Limit of Higher Derivative Extended CP(N) Model

Cited by in corpus (6)

• Gauge Theories with Lorentz-Symmetry Violation by Symplectic Projector Method
• Gauge Symmetry Enhancement and Radiatively Induced Mass in the Large N Nonlinear Sigma Model
• Superfield formalism for the one loop effective action and CP(N) model in three dimensions
• Physical Variables of $d=3$ Maxwell-Chern-Simons Theory by Symplectic Projector Method
• Solitons in a Grassmannian sigma-model Coupled to Chern-Simons Term
• Duality and Enhanced Gauge Symmetry in 2+1 Dimensions